Title
Designing Production-Inventory-Transportation Systems with Capacitated Cross-Docks
Abstract
We consider a two-echelon supply chain problem, where the demand of a set of retailers is satisfied from a set of suppliers and shipped through a set of capacitated cross-docks that are to be established. The objective is to determine the number and location of cross-docks and the assignment of retailers to suppliers via cross-docking so that the total cost of pipeline and retailers inventory, transportation, and facility location is minimized. We formulate the problem as a nonlinear mixed integer programming. We first derive several structural results for special cases of the problem. We also demonstrate that the Capacitated Plant Fixed-Charge Transport Location Problem is a special case of our problem. To solve the general problem, we show that it can be written as a cutting stock problem and develop a column generation algorithm to solve it. We investigate the efficiency of the proposed algorithm numerically. We then extend the problem by allowing different truck capacities as decision variables.
Year
DOI
Venue
2014
10.1287/trsc.1120.0454
Transportation Science
Keywords
Field
DocType
nonlinear programming,facility location,inventory,mixed integer programming,supply chain management,algorithms
Mathematical optimization,Column generation,Nonlinear programming,Facility location problem,Supply chain management,Integer programming,Cutting stock problem,Supply chain,1-center problem,Mathematics,Operations management
Journal
Volume
Issue
ISSN
48
1
0041-1655
Citations 
PageRank 
References 
3
0.40
20
Authors
3
Name
Order
Citations
PageRank
Hossein Abouee-Mehrizi1355.52
O. Berman21604231.36
M. Reza Baharnemati330.40